Local Bifurcation Analysis of a Stage Structured Epidemiological Model with Michaelis-Menten Predation and Prey Refuge

2021 ◽  
Vol 67 (7) ◽  
pp. 79-86
Author(s):  
Mohana Sorubha Sundari N ◽  
Valliathal M
Keyword(s):  
Bifurcation Analysis ◽  
Epidemiological Model ◽  
Local Bifurcation ◽  
Prey Refuge ◽  
Local Bifurcation Analysis

scholarly journals The Dynamics of Epidemic Model with Two Types of Infectious Diseases and Vertical Transmission

2016 ◽  
Vol 2016 ◽  
pp. 1-16 ◽  
Author(s):  
Raid Kamel Naji ◽  
Reem Mudar Hussien
Keyword(s):  
Infectious Diseases ◽  
Vertical Transmission ◽  
Bifurcation Analysis ◽  
Epidemic Model ◽  
Reproduction Number ◽  
Equilibrium Points ◽  
Host Population ◽  
Local Bifurcation ◽  
Local Bifurcation Analysis ◽  
Different Types

An epidemic model that describes the dynamics of the spread of infectious diseases is proposed. Two different types of infectious diseases that spread through both horizontal and vertical transmission in the host population are considered. The basic reproduction numberR0is determined. The local and the global stability of all possible equilibrium points are achieved. The local bifurcation analysis and Hopf bifurcation analysis for the four-dimensional epidemic model are studied. Numerical simulations are used to confirm our obtained analytical results.

Local bifurcation analysis and topological horseshoe of a 4D hyper-chaotic system

2015 ◽  
Vol 83 (4) ◽  
pp. 2055-2066 ◽  
Author(s):  
Zhonglin Wang ◽  
Leilei Zhou ◽  
Zengqiang Chen ◽  
Jiezhi Wang
Keyword(s):  
Chaotic System ◽  
Bifurcation Analysis ◽  
Local Bifurcation ◽  
Topological Horseshoe ◽  
Local Bifurcation Analysis

Local bifurcation analysis of a four-dimensional hyperchaotic system

2008 ◽  
Vol 17 (7) ◽  
pp. 2420-2432 ◽  
Author(s):  
Wu Wen-Juan ◽  
Chen Zeng-Qiang ◽  
Yuan Zhu-Zhi
Keyword(s):  
Bifurcation Analysis ◽  
Local Bifurcation ◽  
Hyperchaotic System ◽  
Local Bifurcation Analysis
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